Colloquium Mathematics, Dr. A.F. Boix, Ben-Gurion University of the Negev, Israel

Lunch Colloquium Mathematics

Title: Solutions sets of polynomial equations and local cohomology

Abstract:
Suppose you have a system of polynomial equations, and look at its solution set; you may ask if this set can be obtained with less equations than the ones you start with. This is, in general, a very hard problem if your polynomials have degree at least two. One possible technique to partially tackle this issue is through the so-called local cohomology groups. The goal of this talk will be, not only to review this important technique, but also to see how to use it to provide partial answers to the above problem; moreover, we also show how these groups, regarded in a certain way as solutions of a system of partial differential equations, become much more accessible to handle, both from the theoretical and from the computational point of view.

Colloquium coordinators are:
Prof.dr. A.J. van der Schaft ( a.j.van.der.schaft rug.nl ) and Dr. A.V. Kiselev (e-mail: a.v.kiselev rug.nl )

http://www.rug.nl/research/jbi/news/colloquia/mathematics-colloquia/

Department of Mathematics, Ben Gurion University of the Negev, P.O.B. 653 BeerSheva 8410501, ISRAEL. E-mail address: fernanal post.bgu.ac.il

The author is supported by Israel Science Foundation (grant No. 844/14) and Spanish Ministerio de Econom í a y Competitividad MTM2016-7881-P.